51528368160 has 384 divisors, whose sum is σ = 191480889600. Its totient is φ = 12897239040.

The previous prime is 51528368137. The next prime is 51528368233. The reversal of 51528368160 is 6186382515.

51528368160 is a `hidden beast` number, since 5 + 1 + 528 + 3 + 68 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36058326 + ... + 36059754.

It is an arithmetic number, because the mean of its divisors is an integer number (498648150).

Almost surely, 2^51528368160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51528368160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95740444800).

51528368160 is an abundant number, since it is smaller than the sum of its proper divisors (139952521440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51528368160 is a wasteful number, since it uses less digits than its factorization.

51528368160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 51528368160 in words is "fifty-one billion, five hundred twenty-eight million, three hundred sixty-eight thousand, one hundred sixty".